λ
Harmonic Matrix

5,437,615

5 × 271 × 4013
Deficient Odd Composite

5,437,615 has digital root 4. The neighboring primes are 5437613 and 5437639; its proper-divisor sum differs from the starting integer by -4,324,382.

Prime Factor Structure

Factorization String 5 × 271 × 4013
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,550,848
Proper Divisor Sum 1,113,233
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #5437613 ← → #5437639

Radix Representation

Decimal 5437615
Binary 10100101111100010101111 (23 bits)
Octal 0o24574257
Hexadecimal 0x52F8AF

Divisor Catalog (8)

1 5 271 1,355 4,013 20,065 1,087,523 5,437,615

Collatz Trajectory (144 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

5,437,615 16,312,846 8,156,423 24,469,270 12,234,635 36,703,906 18,351,953 55,055,860 27,527,930 13,763,965 41,291,896 20,645,948 10,322,974 5,161,487 15,484,462 7,742,231 23,226,694 11,613,347 34,840,042 17,420,021 52,260,064 26,130,032 13,065,016 6,532,508 3,266,254 1,633,127 4,899,382 2,449,691 7,349,074 3,674,537 11,023,612 5,511,806 2,755,903 8,267,710 4,133,855 12,401,566 6,200,783 18,602,350 9,301,175 27,903,526 13,951,763 41,855,290 20,927,645 62,782,936 31,391,468 15,695,734 7,847,867 23,543,602 11,771,801 35,315,404 17,657,702 8,828,851 26,486,554 13,243,277 39,729,832 19,864,916 9,932,458 4,966,229 14,898,688 7,449,344

More profiles

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